3. Samples arriving at a certain laboratory may be given a number of tests to determinethe presence of COVID 19 virus. If the result of test A is positive, then the sample issubjected to test B. If the result of test B is positive, then it is subjected to test C. If theresult of test C is positive, then it is assumed that the sample contains COVID 19 virus.Suppose that the probabilities of false positives for the tests A, B, and C are 0.05, 0.10and 0.15, respectively, and the probabilities of false negatives are 0.01, 0.02 and 0.03,respectively. Furthermore, suppose that 10% of samples arriving at the laboratorycontain COVID 19 virus. a. Find the probability that the laboratory will falsely assume the absence of COVID 19 virus in the sampleb. Find the probability of samples tested by the laboratory is reported to contain COVID 19 virus.c. What percent of the samples tested bv the laboratorv are reported to contain no trace of COVID 19 virus?d. What percof the samples tested by the laboratory will report the absence of COVID 19 virus in a sample?

“Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Answered: a. Find the probability that the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Consider 2 experiments. Experiment 1:4 fair dices are tossed. The person wins he/she gets one or more 1's. Experiment 2: 8 fair dices are tossed. The person wins if he/she gets two or more l’s. Identify which experiment has a higher probability of winning.
During a month in Adana, it rains with probability 2/3 each day, independently of every other day. Compute the variance of the number of rainy days in this month (a month=30 days). а. 1 O b. 1/3 O c. 2/3 O d. 20/3 e. 10/3
COVID-19 vaccination is important to help stop the COVID-19 pandemic. A survey conducted showed that only 15% of the Dehli community disagree with the COVID-19 vaccination program. Twenty people of the Dehli community were randomly selected.Let Y be the number of people who disagree with the newly COVID-19 vaccination program among the selected Sirdang community. a. state the distribution of Y and give its probability distribution function b. what is the probability that all of them agree with the vaccination program? c. calculate the probability of Y not exceeding its mean.
There are 4 red balls, 6 blue balls and 2 white balls in a bag. Suppose on every single turn, yourandomly select a ball, see the color of it and put it back in the bag. You keep doing thisrepeatedly.a. What is the probability that you get the first red ball on the 5th turn?b. How many turns are expected to get one non-white ball?c. What is the variance of the number of turns required to get one blue ball?
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1. The distributional pattern of pulmonate slugs inhabiting Libya was studied in the AIUB Journal of Science and Engineering (Aug. 2003). The number of slugs of a certain species found in the survey area was modeled using the negative binomial distribution. Assume that the probability of observing a slug of a certain species (say, Milax rusticus) in the survey area is 0.2. Let Y represent the number of slugs that must be collected in order to obtain a sample of 10 Milax rusticus slugs. a. Give the probability distribution for Y as a formula. b. What is the expected value of Y? Interpret this value.c. Find P(Y = 25).
a) The proportion of people in a given community who have Covid- 19 infection is 0.005. A test is available to diagnose the disease. If a person has Covid-19, the probability that the test will produce a positive signal is 0.99. If a person does not have the Covid-19, the probability that the test will produce a positive signal is 0.01. if a 2 person tests positive, what is the probability that the person actually has the Covid-19 infection? i. Which model will best be good for solving the above problem and why? ii. In your own words, comment on the types of events you see in the problem and name them. b) 30% of people who seek psychotherapy will recover from their symptoms irrespective of whether they receive treatment. A research finds that a particular type of psychotherapy is successful with 45 out of 100 clients. Using an alpha level of 0.05 as a criterion, what should she conclude about the effectiveness of this psychotherapeutic approach? i. Which statistical model is most…
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